Minimal Maslov number of R -spaces canonically embedded in Einstein-Kähler C -spaces
Abstract: An R-space is a compact homogeneous space obtained as an orbit of the isotropy representation of a Riemannian symmetric space. It is known that each R-space has the canonical embedding into a Kähler C-space as a real form, and thus a compact embedded totally geodesic Lagrangian submanifold. The minimal Maslov number of Lagrangian submanifolds in symplectic manifolds is one of invariants under Hamiltonian isotopies and very fundamental to study the Floer homology for intersections of Lagrangian submanifolds. In this paper we show a Lie theoretic formula for the minimal Maslov number of R-spaces canonically embedded in Einstein-Kähler C-spaces, and provide some examples of the calculation by the formula.
- Location
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Deutsche Nationalbibliothek Frankfurt am Main
- Extent
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Online-Ressource
- Language
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Englisch
- Bibliographic citation
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Minimal Maslov number of R -spaces canonically embedded in Einstein-Kähler C -spaces ; volume:6 ; number:1 ; year:2019 ; pages:303-319 ; extent:17
Complex manifolds ; 6, Heft 1 (2019), 303-319 (gesamt 17)
- Creator
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Ohnita, Yoshihiro
- DOI
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10.1515/coma-2019-0016
- URN
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urn:nbn:de:101:1-2410281508325.546627450712
- Rights
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Open Access; Der Zugriff auf das Objekt ist unbeschränkt möglich.
- Last update
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15.08.2025, 7:20 AM CEST
Data provider
Deutsche Nationalbibliothek. If you have any questions about the object, please contact the data provider.
Associated
- Ohnita, Yoshihiro
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